Magma V2.19-8 Tue Aug 20 2013 23:40:31 on localhost [Seed = 1899435513] Type ? for help. Type -D to quit. Loading file "L11a371__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a371 geometric_solution 10.13718818 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.255754040910 0.853556079636 0 2 5 5 0132 3201 2103 0132 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.255754040910 0.853556079636 2 0 1 2 3012 0132 2310 1230 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.141062870349 0.964783927456 4 5 6 0 0132 3120 0132 0132 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.001239914368 1.230307434189 3 6 0 7 0132 0132 0132 0132 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.280395560159 0.489752180588 1 3 1 8 2103 3120 0132 0132 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677878698754 1.075050834310 7 4 9 3 0132 0132 0132 0132 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.147466768369 0.681233087747 6 8 4 9 0132 2103 0132 0132 1 0 1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.005108899954 1.685982326726 10 7 5 10 0132 2103 0132 2103 1 0 1 1 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 -1 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.857644967126 0.785887620482 10 10 7 6 2103 0132 0132 0132 1 0 1 1 0 1 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366197684881 0.580773411350 8 9 9 8 0132 0132 2103 2103 1 0 1 1 0 -1 1 0 1 0 0 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 -2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.857644967126 0.785887620482 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_10' : d['c_1001_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_1100_10' : negation(d['c_0101_10']), 'c_1010_7' : d['c_1001_9'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_1001_9']), 'c_1100_8' : negation(d['c_0101_8']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_8'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0101_0, c_0101_10, c_0101_3, c_0101_8, c_1001_2, c_1001_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 9482649711473675026/524965062377691*c_1100_0^13 - 5922187775866379177/174988354125897*c_1100_0^12 - 748794736789940668/174988354125897*c_1100_0^11 - 66665109202511347867/524965062377691*c_1100_0^10 + 41444275212984734434/174988354125897*c_1100_0^9 - 249199476499344878/40381927875207*c_1100_0^8 + 84956653642298770667/524965062377691*c_1100_0^7 - 207380234520348704878/524965062377691*c_1100_0^6 - 26249161073887012718/524965062377691*c_1100_0^5 + 597809593211478088/3431144198547*c_1100_0^4 - 15155332317817254568/40381927875207*c_1100_0^3 + 442549789030183763/10293432595641*c_1100_0^2 + 78742542320676711905/524965062377691*c_1100_0 - 75329354970174266516/524965062377691, c_0011_0 - 1, c_0011_10 + 12944336/227333479*c_1100_0^13 - 29013765/227333479*c_1100_0^12 + 10322427/227333479*c_1100_0^11 - 92095896/227333479*c_1100_0^10 + 206129123/227333479*c_1100_0^9 - 110321221/227333479*c_1100_0^8 + 105289961/227333479*c_1100_0^7 - 389323858/227333479*c_1100_0^6 + 196147552/227333479*c_1100_0^5 + 172896571/227333479*c_1100_0^4 - 194518375/227333479*c_1100_0^3 + 105172281/227333479*c_1100_0^2 + 127397030/227333479*c_1100_0 - 118415347/227333479, c_0011_3 + c_1100_0^2, c_0011_5 + 10387484/227333479*c_1100_0^13 - 24311717/227333479*c_1100_0^12 + 16482790/227333479*c_1100_0^11 - 84678532/227333479*c_1100_0^10 + 162917923/227333479*c_1100_0^9 - 137258231/227333479*c_1100_0^8 + 172739529/227333479*c_1100_0^7 - 260593982/227333479*c_1100_0^6 + 149240736/227333479*c_1100_0^5 + 22806201/227333479*c_1100_0^4 - 216230901/227333479*c_1100_0^3 + 224593239/227333479*c_1100_0^2 - 196831326/227333479*c_1100_0 - 131361388/227333479, c_0101_0 - 1, c_0101_10 + 34478062/227333479*c_1100_0^13 - 56543286/227333479*c_1100_0^12 - 18821200/227333479*c_1100_0^11 - 250723169/227333479*c_1100_0^10 + 385401123/227333479*c_1100_0^9 + 52864799/227333479*c_1100_0^8 + 386894787/227333479*c_1100_0^7 - 635501021/227333479*c_1100_0^6 - 171256190/227333479*c_1100_0^5 + 104027989/227333479*c_1100_0^4 - 640310082/227333479*c_1100_0^3 - 76424804/227333479*c_1100_0^2 + 331844929/227333479*c_1100_0 - 190834560/227333479, c_0101_3 + 12946041/227333479*c_1100_0^13 - 28448934/227333479*c_1100_0^12 + 4702048/227333479*c_1100_0^11 - 84461924/227333479*c_1100_0^10 + 188661938/227333479*c_1100_0^9 - 69103282/227333479*c_1100_0^8 + 89577359/227333479*c_1100_0^7 - 230309375/227333479*c_1100_0^6 + 128729876/227333479*c_1100_0^5 + 82553594/227333479*c_1100_0^4 - 434903272/227333479*c_1100_0^3 + 43017679/227333479*c_1100_0^2 + 222989286/227333479*c_1100_0 - 213409246/227333479, c_0101_8 + c_1100_0, c_1001_2 - 10387484/227333479*c_1100_0^13 + 24311717/227333479*c_1100_0^12 - 16482790/227333479*c_1100_0^11 + 84678532/227333479*c_1100_0^10 - 162917923/227333479*c_1100_0^9 + 137258231/227333479*c_1100_0^8 - 172739529/227333479*c_1100_0^7 + 260593982/227333479*c_1100_0^6 - 149240736/227333479*c_1100_0^5 - 22806201/227333479*c_1100_0^4 + 216230901/227333479*c_1100_0^3 - 224593239/227333479*c_1100_0^2 - 30502153/227333479*c_1100_0 + 131361388/227333479, c_1001_9 - 531498/227333479*c_1100_0^13 + 10192565/227333479*c_1100_0^12 - 19699162/227333479*c_1100_0^11 - 5195849/227333479*c_1100_0^10 - 84308200/227333479*c_1100_0^9 + 186913450/227333479*c_1100_0^8 + 52204444/227333479*c_1100_0^7 + 218067668/227333479*c_1100_0^6 - 436900183/227333479*c_1100_0^5 - 54689289/227333479*c_1100_0^4 - 54296739/227333479*c_1100_0^3 - 49151848/227333479*c_1100_0^2 - 7929032/227333479*c_1100_0 + 83937285/227333479, c_1100_0^14 - 2*c_1100_0^13 - 7*c_1100_0^11 + 14*c_1100_0^10 - 2*c_1100_0^9 + 9*c_1100_0^8 - 23*c_1100_0^7 + 10*c_1100_0^5 - 22*c_1100_0^4 + 5*c_1100_0^3 + 8*c_1100_0^2 - 9*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB